University of Connecticut

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Analysis and Probability Seminar
The bi-Lipschitz embedding problem
Vyron Vellis (University of Connecticut)

Friday, February 15, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: To improve our understanding of a metric space, it is often helpful to realize the space within some Euclidean space. The embedding problem is concerned with recognizing those spaces which admit a bi-Lipschitz embedding into some Euclidean space, that is, an embedding that does not distort its geometry too much. The embedding problem has recently generated great interest in theoretical computer science and, more specifically, in graphic imaging and storage and access issues for large data sets. In this talk we examine the embedabbility of two important sub-Riemannian manifolds, the Grushin plane and the Heisenberg group. This talk is based on joint work with V. Chousionis, S. Li and S. Zimmerman.

Contact:

Scott Zimmerman, scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar

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